Antonio has a change jar that contains $3.65 in half dollars and nickels. He has 7 more nickels than

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Antonio has a change jar that contains $3.65 in half dollars and nickels. He has 7 more nickels than half dollars. How many of each type of coin does he have?

Let h be half dollars
Let n be nickels

We're given two equations:

1. n = h + 7
2. 0.5h + 0.05n = 3.65

Substitute equation (1) into equation (2) for n:
0.5h + 0.05(h + 7) = 3.65

To solve this equation for h, we type it in our search engine and we get:
h = 6

To get n, we substitute h = 6 into equation (1) above:
n = 6 + 7
n = 13